I highly doubt america would have gone to war with france, the anti federalists were rabid pro french revolutionaries, whatever political parties arose from the nation, it would be vehemently pro french in a backlash against the federalists, who would likely be unable to retain power. assuming this, Its likely that the french would try to gain favor with the united states against the british, who the french and americans both had a vested interest in seeing taken down a peg. and with the french having helped the americans during the revolution, Napoleon could have offered the lousiana territory to the americans, for free or for a price, and depending on the president (the title of the executive position as outlined in the planned US constitution) a constitutional crises would arise hypothetically because in the planned constitution it makes no mention of the president, or the states, or the government, having the power to buy, or transfer, territories to the United States, and its unlikely the Anti Federalists would argue that this gigantic land and power grab by the central government is a good thing, unless of course, the president who takes the territory IS an anti federalist like, say, Jefferson or Madison, then youd have to deal with the political legacy of being a massive hypocrite!